Algebra Test

Which of the following is a foci of the conic section with the equation x^2 / 16 - y^2 / 4 = 1

(2√5, 0)

Find the distance between the points (-2, 4) and (4, -6).

2√(34)

Solve the following system. x 2 - y = 3 x - y = -3 The solution set

in this exact order {( -2, 1 , ) (3,6)}

Choose the correct graph to fit the inequality. y < 16x 2

it's an open U shape facing the top starting from 0 then you see the number 16,32, 48 and 64. the area surrounding the U is blue

A hyperbola with center at (0, 0), with x-intercepts at (4, 0) and (-4, 0), with b = 1, and opening horizontally has the equation

x^2 / 16 - y^2 / 1 = 1 the last option

Which of the following equations is of an ellipse with x-intercepts of (3, 0) and (-3, 0) and y-intercepts at (0, 1) and (0, -1)?

x^2 / 9 + y^2 /1 = 1 The last option

Which of the following is a foci of x^2 /9 + y^2 / 4 =1

(√5,0)

Choose the correct conic section to fit the equation. x=1/16y^2

Parabola

Choose the correct graph to fit the inequality. x ^2 - y ^2 < 9

hourglass shape going vertical and it's in between -4, -3 one on side and 3, 4 on the other

The volume of a box(V) varies directly with its length(l). If a box in the group has a length of 30 inches and k = 24, what is its volume?

720 cubic inches

Choose the correct conic section to fit the equation. x ^2+ y ^2 = 9

circle

Choose the correct conic section to fit the equation. x^2 / 9 + y^2/ 4 = 1

Ellipse

The equation of the circle whose center is at (4,4) and whose radius is 5 is

(x - 4)² + (y - 4)² = 25

Complete the following item based on the given information. The volume of a box(V) varies directly with its length(l). If a box in the group has a length of 30 inches, and the girth of 20 inches (perimeter of the side formed by the width and height), what is its height? Use k = 24. (Hint: Volume = length width height. Solve for length, and substitute into the equation for constant of proportionality.)

in this exact order. 6 inches or 4 inches

The directrix of y=1/8x^2 is

y = -2

Find the distance between the points (-2, 4) and (5, 4).

7

The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 288 cubic inches and a length of 12 inches, what is the constant of proportionality for the group of boxes?

24

The volume of a box(V) varies directly with its length(l). Using k for the constant of proportionality, express the relationship between V and l if V varies directly with l.

V = kl

Choose the correct conic section to fit the equation. 49x ^2 - 16y ^2 = 784

Hyperbola

Choose the correct conic section to fit the equation. x^2 / 16 + y^2 / 4 = 1

Hyperbola

Choose the correct conic section to fit the equation. xy = -16

Hyperbola

Choose the correct conic section to fit the equation. y= 1/8x^2

Parabola

Choose the correct conic section to fit the equation. (x - 3) ^2 + (y - 2) ^2 = 16

circle